Search a number
-
+
109033386 = 237112331331
BaseRepresentation
bin1100111111110…
…11011110101010
321121011110200120
412133323132222
5210403032021
614452544110
72462524410
oct637733652
9247143616
10109033386
1156601440
1230622036
13197873c7
14106a32b0
15988b2c6
hex67fb7aa

109033386 has 128 divisors (see below), whose sum is σ = 293732352. Its totient is φ = 26136000.

The previous prime is 109033367. The next prime is 109033387. The reversal of 109033386 is 683330901.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (109033387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329241 + ... + 329571.

It is an arithmetic number, because the mean of its divisors is an integer number (2294784).

Almost surely, 2109033386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109033386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146866176).

109033386 is an abundant number, since it is smaller than the sum of its proper divisors (184698966).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109033386 is a wasteful number, since it uses less digits than its factorization.

109033386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 109033386 is about 10441.9052859141. The cubic root of 109033386 is about 477.7343838040.

The spelling of 109033386 in words is "one hundred nine million, thirty-three thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 11 14 21 22 23 31 33 42 46 62 66 69 77 93 138 154 161 186 217 231 253 322 331 341 434 462 483 506 651 662 682 713 759 966 993 1023 1302 1426 1518 1771 1986 2046 2139 2317 2387 3542 3641 4278 4634 4774 4991 5313 6951 7161 7282 7613 7843 9982 10261 10626 10923 13902 14322 14973 15226 15686 20522 21846 22839 23529 25487 29946 30783 45678 47058 50974 53291 54901 61566 71827 76461 83743 106582 109802 112871 143654 152922 159873 164703 167486 215481 225742 236003 251229 319746 329406 338613 430962 472006 502458 586201 677226 708009 790097 1172402 1416018 1580194 1652021 1758603 2370291 2596033 3304042 3517206 4740582 4956063 5192066 7788099 9912126 15576198 18172231 36344462 54516693 109033386